Metrics for Optimisation.CirclePacking:place from circle-packing-0.1.0.4, C

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
100%	99.9%	0%	0.1%	0%	0%	0%	1

Compiler

Compiled 7 to 7 computations (0% saved)

sample987.0ms (33.6%)

Memory

-17.3MiB live, 690.8MiB allocated

Samples

747.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 337.0ms

ival-sqrt: 137.0ms (40.7% of total)

ival-sub: 102.0ms (30.3% of total)

ival-fabs: 88.0ms (26.1% of total)

ival-true: 6.0ms (1.8% of total)

ival-assert: 3.0ms (0.9% of total)

Bogosity

explain79.0ms (2.7%)

Memory

5.0MiB live, 86.2MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`y`
-	-	`(fabs.f64 (-.f64 x y))`
-	-	`(-.f64 x y)`
-	-	`(sqrt.f64 (fabs.f64 (-.f64 x y)))`
-	-	`x`

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	256

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	1

Precision?

0/0

Recall?

0/0

Samples

21.0ms

512×

valid

Compiler

Compiled 51 to 24 computations (52.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-sub: 3.0ms (31.1% of total)

ival-fabs: 3.0ms (31.1% of total)

ival-sqrt: 3.0ms (31.1% of total)

ival-true: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

preprocess14.0ms (0.5%)

Memory

21.9MiB live, 21.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	31
1	27	31
2	42	31
3	84	31
4	165	31
5	231	31
0	5	5
0	8	5
1	12	5
2	17	5
3	31	5
4	58	5
5	80	5
0	80	5

Stop Event

1×	iter limit
1×	saturated
1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(sqrt.f64 (fabs.f64 (-.f64 x y)))

Outputs
(sqrt.f64 (fabs.f64 (-.f64 x y)))
(sqrt.f64 (fabs.f64 (-.f64 y x)))

Symmetry

(sort x y)

Compiler

Compiled 5 to 5 computations (0% saved)

eval0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(sqrt.f64 (fabs.f64 (-.f64 x y)))

Compiler

Compiled 5 to 5 computations (0% saved)

simplify3.0ms (0.1%)

Memory

4.2MiB live, 4.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(-.f64 x y)
cost-diff	0	(fabs.f64 (-.f64 x y))
cost-diff	0	(sqrt.f64 (fabs.f64 (-.f64 x y)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	14
0	8	14
1	12	14
2	17	14
3	31	14
4	58	14
5	80	14
0	80	14

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(sqrt.f64 (fabs.f64 (-.f64 x y)))
(fabs.f64 (-.f64 x y))
(-.f64 x y)
x
y

Outputs
(sqrt.f64 (fabs.f64 (-.f64 x y)))
(sqrt.f64 (fabs.f64 (-.f64 y x)))
(fabs.f64 (-.f64 x y))
(fabs.f64 (-.f64 y x))
(-.f64 x y)
x
y

localize24.0ms (0.8%)

Memory

-13.3MiB live, 25.4MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0.0	(-.f64 x y)
accuracy	0.0	(fabs.f64 (-.f64 x y))
accuracy	0.00390625	(sqrt.f64 (fabs.f64 (-.f64 x y)))

Samples

12.0ms

256×

valid

Compiler

Compiled 30 to 12 computations (60% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-sub: 2.0ms (41.9% of total)

ival-sqrt: 2.0ms (41.9% of total)

ival-fabs: 1.0ms (21% of total)

ival-true: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

series3.0ms (0.1%)

Memory

4.1MiB live, 4.1MiB allocated

Counts

3 → 14

Calls

Call 1

Inputs
(sqrt.f64 (fabs.f64 (-.f64 x y)))
(fabs.f64 (-.f64 x y))
(-.f64 x y)

Outputs
(sqrt (fabs (- x y)))
(fabs (- x y))
(* -1 y)
(- x y)
x
(* x (+ 1 (* -1 (/ y x))))
(sqrt (fabs (neg (+ y (* -1 x)))))
(fabs (neg (+ y (* -1 x))))
(* -1 (* x (- (/ y x) 1)))
(+ x (* -1 y))
(* y (- (/ x y) 1))
(sqrt (fabs (+ x (* -1 y))))
(fabs (+ x (* -1 y)))
(* -1 (* y (+ 1 (* -1 (/ x y)))))

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	y	@	-inf	((sqrt (fabs (- x y))) (fabs (- x y)) (- x y))
0.0ms	x	@	inf	((sqrt (fabs (- x y))) (fabs (- x y)) (- x y))
0.0ms	x	@	-inf	((sqrt (fabs (- x y))) (fabs (- x y)) (- x y))
0.0ms	x	@	0	((sqrt (fabs (- x y))) (fabs (- x y)) (- x y))
0.0ms	y	@	inf	((sqrt (fabs (- x y))) (fabs (- x y)) (- x y))

simplify149.0ms (5.1%)

Memory

-9.0MiB live, 112.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	48
1	87	48
2	253	48
3	720	48
4	1980	48
5	3418	48
6	5648	48
7	7873	48
0	8004	48

Stop Event

1×	iter limit
1×	node limit

Counts

14 → 13

Calls

Call 1

Inputs
(sqrt (fabs (- x y)))
(fabs (- x y))
(* -1 y)
(- x y)
x
(* x (+ 1 (* -1 (/ y x))))
(sqrt (fabs (neg (+ y (* -1 x)))))
(fabs (neg (+ y (* -1 x))))
(* -1 (* x (- (/ y x) 1)))
(+ x (* -1 y))
(* y (- (/ x y) 1))
(sqrt (fabs (+ x (* -1 y))))
(fabs (+ x (* -1 y)))
(* -1 (* y (+ 1 (* -1 (/ x y)))))

Outputs
(sqrt (fabs (- x y)))
(sqrt.f64 (fabs.f64 (-.f64 x y)))
(fabs (- x y))
(fabs.f64 (-.f64 x y))
(* -1 y)
(neg.f64 y)
(- x y)
(-.f64 x y)
x
(* x (+ 1 (* -1 (/ y x))))
(-.f64 x y)
(sqrt (fabs (neg (+ y (* -1 x)))))
(sqrt.f64 (fabs.f64 (-.f64 x y)))
(fabs (neg (+ y (* -1 x))))
(fabs.f64 (-.f64 x y))
(* -1 (* x (- (/ y x) 1)))
(-.f64 x y)
(+ x (* -1 y))
(-.f64 x y)
(* y (- (/ x y) 1))
(-.f64 x y)
(sqrt (fabs (+ x (* -1 y))))
(sqrt.f64 (fabs.f64 (-.f64 x y)))
(fabs (+ x (* -1 y)))
(fabs.f64 (-.f64 x y))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(-.f64 x y)

rewrite197.0ms (6.7%)

Memory

-12.4MiB live, 151.9MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	5	12
0	8	11
1	29	11
2	186	10
3	2058	10
0	8749	10

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

3 → 474

Calls

Call 1

Inputs
(sqrt.f64 (fabs.f64 (-.f64 x y)))
(fabs.f64 (-.f64 x y))
(-.f64 x y)

Outputs
(*.f64 (neg.f64 (neg.f64 (pow.f64 (-.f64 y x) #s(literal 1/4 binary64)))) (neg.f64 (neg.f64 (pow.f64 (-.f64 y x) #s(literal 1/4 binary64)))))
(.f64 (sqrt.f64 (/.f64 (.f64 (+.f64 y x) (-.f64 y x)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (sqrt.f64 (fma.f64 y (-.f64 y x) (*.f64 x x))))
(.f64 (sqrt.f64 (/.f64 (.f64 (+.f64 y x) (-.f64 y x)) (*.f64 (+.f64 y x) (-.f64 y x)))) (sqrt.f64 (-.f64 y x)))
(.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 (+.f64 y x) y) #s(literal 2 binary64))))) (sqrt.f64 (-.f64 (.f64 x x) (.f64 (+.f64 y x) y))))
(.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (+.f64 y x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))))) (sqrt.f64 (fma.f64 (.f64 (+.f64 y x) y) (-.f64 (.f64 (+.f64 y x) y) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))))
(*.f64 (sqrt.f64 (neg.f64 (sqrt.f64 (-.f64 y x)))) (sqrt.f64 (neg.f64 (sqrt.f64 (-.f64 y x)))))
(.f64 (pow.f64 (/.f64 (.f64 (+.f64 y x) (pow.f64 (-.f64 y x) #s(literal 2 binary64))) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (/.f64 (.f64 (+.f64 y x) (pow.f64 (-.f64 y x) #s(literal 2 binary64))) (*.f64 (+.f64 y x) (-.f64 y x))) #s(literal 1/4 binary64)) (pow.f64 (-.f64 y x) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (/.f64 (.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 y x)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 (+.f64 y x) y) #s(literal 2 binary64)))) #s(literal 1/4 binary64)) (pow.f64 (-.f64 (.f64 x x) (*.f64 (+.f64 y x) y)) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (/.f64 (.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 y x)) (+.f64 (pow.f64 (.f64 (+.f64 y x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 (.f64 (+.f64 y x) y) (-.f64 (.f64 (+.f64 y x) y) (.f64 x x)) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (pow.f64 (-.f64 y x) #s(literal 3/2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (-.f64 y x) #s(literal 1/8 binary64)))
(.f64 (pow.f64 (.f64 (+.f64 y x) (-.f64 y x)) #s(literal 1/4 binary64)) (pow.f64 (/.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (pow.f64 (+.f64 y x) #s(literal 2 binary64))) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (.f64 (+.f64 y x) (-.f64 y x)) #s(literal 1/4 binary64)) (pow.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (.f64 x x)))) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (.f64 (+.f64 y x) (-.f64 y x)) #s(literal 1/4 binary64)) (pow.f64 (/.f64 (-.f64 y x) (+.f64 y x)) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/4 binary64)) (pow.f64 (/.f64 (.f64 (+.f64 y x) (-.f64 y x)) (.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (.f64 x x)))) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/4 binary64)) (pow.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (+.f64 y x) y (.f64 x x)) #s(literal 2 binary64))) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/4 binary64)) (pow.f64 (/.f64 (-.f64 y x) (fma.f64 (+.f64 y x) y (.f64 x x))) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (/.f64 (.f64 (+.f64 y x) (-.f64 y x)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64)) (pow.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (/.f64 (.f64 (+.f64 y x) (-.f64 y x)) (*.f64 (+.f64 y x) (-.f64 y x))) #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 y x)))
(.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 (+.f64 y x) y) #s(literal 2 binary64)))) #s(literal 1/2 binary64)) (pow.f64 (-.f64 (.f64 x x) (.f64 (+.f64 y x) y)) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (+.f64 y x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) #s(literal 1/2 binary64)) (pow.f64 (fma.f64 (.f64 (+.f64 y x) y) (-.f64 (.f64 (+.f64 y x) y) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (-.f64 y x))) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (-.f64 y x))) #s(literal 1/2 binary64)))
(*.f64 (neg.f64 (pow.f64 (-.f64 y x) #s(literal 1/4 binary64))) (neg.f64 (pow.f64 (-.f64 y x) #s(literal 1/4 binary64))))
(*.f64 (sqrt.f64 (+.f64 y x)) (sqrt.f64 (/.f64 (-.f64 y x) (+.f64 y x))))
(*.f64 (sqrt.f64 (+.f64 y x)) (pow.f64 (/.f64 (-.f64 y x) (+.f64 y x)) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (fma.f64 (+.f64 y x) y (.f64 x x))) (sqrt.f64 (/.f64 (-.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x)))))
(.f64 (sqrt.f64 (fma.f64 (+.f64 y x) y (.f64 x x))) (pow.f64 (/.f64 (-.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (-.f64 y x) #s(literal 1/8 binary64)) (pow.f64 (pow.f64 (-.f64 y x) #s(literal 3/2 binary64)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (-.f64 y x) #s(literal 1/4 binary64)) (pow.f64 (-.f64 y x) #s(literal 1/4 binary64)))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (-.f64 y x)))
(pow.f64 (neg.f64 (pow.f64 (-.f64 y x) #s(literal 1/4 binary64))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (-.f64 y x) #s(literal 4 binary64)) #s(literal 1/8 binary64))
(pow.f64 (pow.f64 (-.f64 y x) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 (-.f64 y x)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) #s(literal 1/4 binary64))
(pow.f64 (-.f64 y x) #s(literal 1/2 binary64))
(/.f64 (neg.f64 (sqrt.f64 (*.f64 (+.f64 y x) (-.f64 y x)))) (neg.f64 (sqrt.f64 (+.f64 y x))))
(/.f64 (neg.f64 (hypot.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))) (neg.f64 (sqrt.f64 (neg.f64 (fma.f64 (+.f64 y x) y (*.f64 x x))))))
(/.f64 (neg.f64 (hypot.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))) (neg.f64 (sqrt.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)))))
(/.f64 (neg.f64 (sqrt.f64 (*.f64 (fabs.f64 (+.f64 y x)) (-.f64 y x)))) (neg.f64 (sqrt.f64 (fabs.f64 (+.f64 y x)))))
(/.f64 (neg.f64 (sqrt.f64 (hypot.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (sqrt.f64 (fabs.f64 (fma.f64 (+.f64 y x) y (*.f64 x x))))))
(/.f64 (fabs.f64 (sqrt.f64 (*.f64 (+.f64 y x) (-.f64 y x)))) (fabs.f64 (sqrt.f64 (+.f64 y x))))
(/.f64 (fabs.f64 (hypot.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))) (fabs.f64 (sqrt.f64 (neg.f64 (fma.f64 (+.f64 y x) y (*.f64 x x))))))
(/.f64 (fabs.f64 (hypot.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))) (fabs.f64 (sqrt.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)))))
(/.f64 (fabs.f64 (sqrt.f64 (*.f64 (fabs.f64 (+.f64 y x)) (-.f64 y x)))) (fabs.f64 (sqrt.f64 (fabs.f64 (+.f64 y x)))))
(/.f64 (fabs.f64 (sqrt.f64 (hypot.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (fabs.f64 (sqrt.f64 (fabs.f64 (fma.f64 (+.f64 y x) y (*.f64 x x))))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (.f64 x (/.f64 x (+.f64 y x))) #s(literal 2 binary64)) (pow.f64 (.f64 y (/.f64 y (+.f64 y x))) #s(literal 2 binary64)))) (sqrt.f64 (-.f64 y x)))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (.f64 x x))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (.f64 x x))) #s(literal 2 binary64)))) (sqrt.f64 (-.f64 y x)))
(/.f64 (sqrt.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (+.f64 y x) #s(literal 3 binary64))) (/.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (+.f64 y x) #s(literal 3 binary64))))) (sqrt.f64 (+.f64 (pow.f64 (.f64 x (/.f64 x (+.f64 y x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 y (/.f64 y (+.f64 y x))) #s(literal 2 binary64)) (.f64 (.f64 x (/.f64 x (+.f64 y x))) (*.f64 y (/.f64 y (+.f64 y x))))))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (.f64 x x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (.f64 x x))) #s(literal 3 binary64)))) (sqrt.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (.f64 x x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (.f64 x x))) #s(literal 2 binary64)) (.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (.f64 x x))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (*.f64 x x))))))))
(/.f64 (sqrt.f64 (neg.f64 (*.f64 (fabs.f64 (+.f64 y x)) (-.f64 y x)))) (sqrt.f64 (neg.f64 (fabs.f64 (+.f64 y x)))))
(/.f64 (sqrt.f64 (neg.f64 (hypot.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (sqrt.f64 (neg.f64 (fabs.f64 (fma.f64 (+.f64 y x) y (*.f64 x x))))))
(/.f64 (sqrt.f64 (-.f64 (.f64 (.f64 x x) (+.f64 y x)) (.f64 (+.f64 y x) (.f64 y y)))) (fabs.f64 (+.f64 y x)))
(/.f64 (sqrt.f64 (-.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (.f64 x x))) (.f64 (fma.f64 (+.f64 y x) y (.f64 x x)) (pow.f64 y #s(literal 3 binary64))))) (fabs.f64 (fma.f64 (+.f64 y x) y (*.f64 x x))))
(/.f64 (sqrt.f64 (*.f64 (sqrt.f64 (+.f64 y x)) (-.f64 y x))) (sqrt.f64 (sqrt.f64 (+.f64 y x))))
(/.f64 (sqrt.f64 (.f64 (hypot.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (sqrt.f64 (-.f64 y x)))) (sqrt.f64 (sqrt.f64 (fma.f64 (+.f64 y x) y (.f64 x x)))))
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(-.f64 (.f64 x (/.f64 x (+.f64 y x))) (/.f64 (.f64 (neg.f64 (neg.f64 y)) y) (+.f64 y x)))
(-.f64 (.f64 x (/.f64 x (+.f64 y x))) (.f64 y (/.f64 y (+.f64 y x))))
(-.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (.f64 x x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (.f64 x x))))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (.f64 x x))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (.f64 x x))))
(-.f64 y x)
(-.f64 x y)
(fabs.f64 (-.f64 y x))
(exp.f64 (/.f64 (log.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (-.f64 y x)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 y x))) #s(literal 2 binary64)))
(exp.f64 (log.f64 (-.f64 y x)))
(+.f64 (cosh.f64 (log.f64 (-.f64 y x))) (sinh.f64 (log.f64 (-.f64 y x))))
(+.f64 (.f64 x (/.f64 x (+.f64 y x))) (.f64 y (/.f64 y (+.f64 y x))))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (.f64 x x))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (.f64 x x))))

eval47.0ms (1.6%)

Memory: 3.0MiB live, 41.0MiB allocated
Compiler: Compiled 7 277 to 949 computations (87% saved)

prune3.0ms (0.1%)

Memory

12.4MiB live, 12.4MiB allocated

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	279	1	280
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	280	1	281

Accuracy

100.0%

Counts

281 → 1

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(sqrt.f64 (-.f64 y x))

Compiler

Compiled 4 to 4 computations (0% saved)

simplify3.0ms (0.1%)

Memory

3.0MiB live, 3.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(-.f64 y x)
cost-diff	0	(sqrt.f64 (-.f64 y x))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	9
0	6	9
0	6	9

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(sqrt.f64 (-.f64 y x))
(-.f64 y x)
y
x

Outputs
(sqrt.f64 (-.f64 y x))
(-.f64 y x)
y
x

localize28.0ms (0.9%)

Memory

-19.3MiB live, 19.2MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	0.0	(-.f64 y x)
accuracy	0.00390625	(sqrt.f64 (-.f64 y x))

Samples

9.0ms

256×

valid

Compiler

Compiled 20 to 10 computations (50% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-sub: 2.0ms (55.8% of total)

ival-sqrt: 2.0ms (55.8% of total)

ival-true: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

series5.0ms (0.2%)

Memory

9.9MiB live, 9.9MiB allocated

Counts

2 → 30

Calls

Call 1

Inputs
(sqrt.f64 (-.f64 y x))
(-.f64 y x)

Outputs
(sqrt y)
(+ (sqrt y) (* -1/2 (* x (sqrt (/ 1 y)))))
(+ (sqrt y) (* x (+ (* -1/2 (sqrt (/ 1 y))) (* -1/8 (* x (sqrt (/ 1 (pow y 3))))))))
(+ (sqrt y) (* x (+ (* -1/2 (sqrt (/ 1 y))) (* x (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (* -1/16 (* x (sqrt (/ 1 (pow y 5))))))))))
y
(+ y (* -1 x))
(* (sqrt x) (sqrt -1))
(* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))
(* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (pow y 2) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))
(* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (pow y 2) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ (pow y 3) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))
(* -1 x)
(* x (- (/ y x) 1))
(* -1 (* (sqrt x) (sqrt -1)))
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (pow y 2) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (pow y 2) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (* (pow y 3) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))))
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(+ (* 1/2 (* (sqrt (/ 1 x)) (/ y (sqrt -1)))) (* (sqrt x) (sqrt -1)))
(+ (* y (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ y (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (sqrt -1)))))) (* (sqrt x) (sqrt -1)))
(+ (* y (+ (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (sqrt -1)))) (* y (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (pow x 5))) (/ y (pow (sqrt -1) 5)))))))) (* (sqrt x) (sqrt -1)))
(- y x)
(* y (+ (sqrt (/ 1 y)) (* -1/2 (* x (sqrt (/ 1 (pow y 3)))))))
(* y (+ (sqrt (/ 1 y)) (+ (* -1/2 (* x (sqrt (/ 1 (pow y 3))))) (* -1/8 (* (pow x 2) (sqrt (/ 1 (pow y 5))))))))
(* y (+ (sqrt (/ 1 y)) (+ (* -1/2 (* x (sqrt (/ 1 (pow y 3))))) (+ (* -1/8 (* (pow x 2) (sqrt (/ 1 (pow y 5))))) (* -1/16 (* (pow x 3) (sqrt (/ 1 (pow y 7)))))))))
(* y (+ 1 (* -1 (/ x y))))
(* -1 (* (sqrt y) (pow (sqrt -1) 2)))
(* -1 (* y (+ (* 1/2 (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))
(* -1 (* y (+ (* -1/8 (* (* (pow x 2) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 5))))) (+ (* 1/2 (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))))
(* -1 (* y (+ (* -1/8 (* (* (pow x 2) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 5))))) (+ (* 1/16 (* (* (pow x 3) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 7))))) (+ (* 1/2 (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))))
(* -1 (* y (- (/ x y) 1)))

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	y	@	-inf	((sqrt (- y x)) (- y x))
1.0ms	x	@	inf	((sqrt (- y x)) (- y x))
1.0ms	x	@	-inf	((sqrt (- y x)) (- y x))
1.0ms	y	@	0	((sqrt (- y x)) (- y x))
1.0ms	y	@	inf	((sqrt (- y x)) (- y x))

simplify269.0ms (9.1%)

Memory

15.5MiB live, 205.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	174	700
1	563	651
2	2437	621
3	6771	615
0	8407	579

Stop Event

1×	iter limit
1×	node limit

Counts

30 → 29

Calls

Call 1

Inputs
(sqrt y)
(+ (sqrt y) (* -1/2 (* x (sqrt (/ 1 y)))))
(+ (sqrt y) (* x (+ (* -1/2 (sqrt (/ 1 y))) (* -1/8 (* x (sqrt (/ 1 (pow y 3))))))))
(+ (sqrt y) (* x (+ (* -1/2 (sqrt (/ 1 y))) (* x (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (* -1/16 (* x (sqrt (/ 1 (pow y 5))))))))))
y
(+ y (* -1 x))
(* (sqrt x) (sqrt -1))
(* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))
(* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (pow y 2) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))
(* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (pow y 2) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ (pow y 3) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))
(* -1 x)
(* x (- (/ y x) 1))
(* -1 (* (sqrt x) (sqrt -1)))
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (pow y 2) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (pow y 2) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (* (pow y 3) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))))
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(+ (* 1/2 (* (sqrt (/ 1 x)) (/ y (sqrt -1)))) (* (sqrt x) (sqrt -1)))
(+ (* y (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ y (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (sqrt -1)))))) (* (sqrt x) (sqrt -1)))
(+ (* y (+ (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (sqrt -1)))) (* y (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (pow x 5))) (/ y (pow (sqrt -1) 5)))))))) (* (sqrt x) (sqrt -1)))
(- y x)
(* y (+ (sqrt (/ 1 y)) (* -1/2 (* x (sqrt (/ 1 (pow y 3)))))))
(* y (+ (sqrt (/ 1 y)) (+ (* -1/2 (* x (sqrt (/ 1 (pow y 3))))) (* -1/8 (* (pow x 2) (sqrt (/ 1 (pow y 5))))))))
(* y (+ (sqrt (/ 1 y)) (+ (* -1/2 (* x (sqrt (/ 1 (pow y 3))))) (+ (* -1/8 (* (pow x 2) (sqrt (/ 1 (pow y 5))))) (* -1/16 (* (pow x 3) (sqrt (/ 1 (pow y 7)))))))))
(* y (+ 1 (* -1 (/ x y))))
(* -1 (* (sqrt y) (pow (sqrt -1) 2)))
(* -1 (* y (+ (* 1/2 (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))
(* -1 (* y (+ (* -1/8 (* (* (pow x 2) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 5))))) (+ (* 1/2 (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))))
(* -1 (* y (+ (* -1/8 (* (* (pow x 2) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 5))))) (+ (* 1/16 (* (* (pow x 3) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 7))))) (+ (* 1/2 (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))))
(* -1 (* y (- (/ x y) 1)))

Outputs
(sqrt y)
(sqrt.f64 y)
(+ (sqrt y) (* -1/2 (* x (sqrt (/ 1 y)))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))
(+ (sqrt y) (* x (+ (* -1/2 (sqrt (/ 1 y))) (* -1/8 (* x (sqrt (/ 1 (pow y 3))))))))
(fma.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal -1/2 binary64))) x (sqrt.f64 y))
(+ (sqrt y) (* x (+ (* -1/2 (sqrt (/ 1 y))) (* x (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (* -1/16 (* x (sqrt (/ 1 (pow y 5))))))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/16 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) #s(literal -1/8 binary64))) x (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal -1/2 binary64))) x (sqrt.f64 y))
y
(+ y (* -1 x))
(-.f64 y x)
(* (sqrt x) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 x))
(* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))
(.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (/.f64 y (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64)))) x)
(* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (pow y 2) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))
(.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (.f64 (neg.f64 y) y) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/8 binary64)) (.f64 y (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal -1 binary64)))) x)
(* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (pow y 2) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ (pow y 3) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))
(.f64 (fma.f64 (/.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (.f64 (neg.f64 y) y) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/8 binary64)) (.f64 y (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal -1 binary64))))) x)
(* -1 x)
(neg.f64 x)
(* x (- (/ y x) 1))
(*.f64 (-.f64 (/.f64 y x) #s(literal 1 binary64)) x)
(* -1 (* (sqrt x) (sqrt -1)))
(*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 #s(literal -1 binary64)))
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))
(.f64 (neg.f64 x) (.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64)) y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (pow y 2) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))
(.f64 (neg.f64 x) (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 y y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))) (sqrt.f64 #s(literal -1 binary64)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64)) y (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (pow y 2) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (* (pow y 3) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))))
(.f64 (neg.f64 x) (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 #s(literal 1/16 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (pow.f64 y #s(literal 3 binary64))) (.f64 #s(literal -1/8 binary64) (.f64 (.f64 y y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64)) y (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(*.f64 (+.f64 (/.f64 y x) #s(literal -1 binary64)) x)
(+ (* 1/2 (* (sqrt (/ 1 x)) (/ y (sqrt -1)))) (* (sqrt x) (sqrt -1)))
(fma.f64 (.f64 y #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 x)))
(+ (* y (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ y (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (sqrt -1)))))) (* (sqrt x) (sqrt -1)))
(fma.f64 (/.f64 (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 y)) #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal -1 binary64))) y (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 x)))
(+ (* y (+ (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (sqrt -1)))) (* y (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (pow x 5))) (/ y (pow (sqrt -1) 5)))))))) (* (sqrt x) (sqrt -1)))
(fma.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 (fma.f64 (/.f64 #s(literal 1/8 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (.f64 (.f64 #s(literal 1/16 binary64) (/.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))) y)) y (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 x)))
(- y x)
(-.f64 y x)
(* y (+ (sqrt (/ 1 y)) (* -1/2 (* x (sqrt (/ 1 (pow y 3)))))))
(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) y)
(* y (+ (sqrt (/ 1 y)) (+ (* -1/2 (* x (sqrt (/ 1 (pow y 3))))) (* -1/8 (* (pow x 2) (sqrt (/ 1 (pow y 5))))))))
(.f64 (fma.f64 (.f64 (.f64 x x) #s(literal -1/8 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (fma.f64 (.f64 #s(literal -1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) y)
(* y (+ (sqrt (/ 1 y)) (+ (* -1/2 (* x (sqrt (/ 1 (pow y 3))))) (+ (* -1/8 (* (pow x 2) (sqrt (/ 1 (pow y 5))))) (* -1/16 (* (pow x 3) (sqrt (/ 1 (pow y 7)))))))))
(.f64 (fma.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/16 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 7 binary64)))) (fma.f64 (.f64 (.f64 x x) #s(literal -1/8 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))) y)
(* y (+ 1 (* -1 (/ x y))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y)
(* -1 (* (sqrt y) (pow (sqrt -1) 2)))
(sqrt.f64 y)
(* -1 (* y (+ (* 1/2 (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))
(.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) y)
(* -1 (* y (+ (* -1/8 (* (* (pow x 2) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 5))))) (+ (* 1/2 (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))))
(.f64 (fma.f64 (.f64 (.f64 x x) #s(literal -1/8 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (fma.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) y)
(* -1 (* y (+ (* -1/8 (* (* (pow x 2) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 5))))) (+ (* 1/16 (* (* (pow x 3) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 7))))) (+ (* 1/2 (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))))
(.f64 (fma.f64 (.f64 (.f64 x x) #s(literal -1/8 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (fma.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 7 binary64)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))) y)
(* -1 (* y (- (/ x y) 1)))
(*.f64 (neg.f64 y) (-.f64 (/.f64 x y) #s(literal 1 binary64)))

rewrite196.0ms (6.7%)

Memory

-15.1MiB live, 142.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	7
0	6	7
1	21	7
2	133	7
3	1238	7
0	9457	7

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

2 → 323

Calls

Call 1

Inputs
(sqrt.f64 (-.f64 y x))
(-.f64 y x)

Outputs
(*.f64 (/.f64 (sqrt.f64 (-.f64 y x)) (neg.f64 (pow.f64 (-.f64 y x) #s(literal 1/4 binary64)))) (/.f64 (sqrt.f64 (-.f64 y x)) (neg.f64 (pow.f64 (-.f64 y x) #s(literal 1/4 binary64)))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 y x)) (pow.f64 (-.f64 y x) #s(literal 1/4 binary64))) (/.f64 (sqrt.f64 (-.f64 y x)) (pow.f64 (-.f64 y x) #s(literal 1/4 binary64))))
(*.f64 (neg.f64 (neg.f64 (pow.f64 (-.f64 y x) #s(literal 1/4 binary64)))) (neg.f64 (neg.f64 (pow.f64 (-.f64 y x) #s(literal 1/4 binary64)))))
(.f64 (sqrt.f64 (/.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (sqrt.f64 (fma.f64 x (-.f64 x y) (.f64 y y))))
(.f64 (sqrt.f64 (/.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (sqrt.f64 (fma.f64 (-.f64 y x) x (.f64 y y))))
(.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (.f64 (-.f64 y x) x) #s(literal 2 binary64))))) (sqrt.f64 (fma.f64 x (-.f64 x y) (*.f64 y y))))
(.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (-.f64 y x) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))))) (sqrt.f64 (fma.f64 (.f64 (-.f64 y x) x) (-.f64 (.f64 (-.f64 y x) x) (*.f64 y y)) (pow.f64 y #s(literal 4 binary64)))))
(*.f64 (hypot.f64 (/.f64 x (-.f64 y x)) (/.f64 y (-.f64 y x))) (sqrt.f64 (-.f64 y x)))
(.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (.f64 (-.f64 y x) x) #s(literal 2 binary64)))) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 x (-.f64 x y) (*.f64 y y))))
(.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (-.f64 y x) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 (.f64 (-.f64 y x) x) (-.f64 (.f64 (-.f64 y x) x) (*.f64 y y)) (pow.f64 y #s(literal 4 binary64)))))
(*.f64 (pow.f64 (/.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (pow.f64 (-.f64 y x) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 y x)))
(.f64 (pow.f64 (/.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 x (-.f64 x y) (.f64 y y))))
(.f64 (pow.f64 (/.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 (-.f64 y x) x (.f64 y y))))
(*.f64 (neg.f64 (pow.f64 (-.f64 y x) #s(literal 1/4 binary64))) (neg.f64 (pow.f64 (-.f64 y x) #s(literal 1/4 binary64))))
(*.f64 (pow.f64 (-.f64 y x) #s(literal 1/4 binary64)) (pow.f64 (-.f64 y x) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (-.f64 y x)) (sqrt.f64 (/.f64 (-.f64 y x) (-.f64 y x))))
(*.f64 (sqrt.f64 (-.f64 y x)) (pow.f64 (/.f64 (-.f64 y x) (-.f64 y x)) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (fma.f64 (-.f64 y x) x (.f64 y y))) (sqrt.f64 (/.f64 (-.f64 y x) (fma.f64 x (-.f64 x y) (*.f64 y y)))))
(.f64 (sqrt.f64 (fma.f64 (-.f64 y x) x (.f64 y y))) (pow.f64 (/.f64 (-.f64 y x) (fma.f64 x (-.f64 x y) (*.f64 y y))) #s(literal 1/2 binary64)))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (-.f64 y x)))
(pow.f64 (neg.f64 (pow.f64 (-.f64 y x) #s(literal 1/4 binary64))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (-.f64 y x) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) #s(literal 1/4 binary64))
(pow.f64 (-.f64 y x) #s(literal 1/2 binary64))
(/.f64 (-.f64 (.f64 (cosh.f64 (log.f64 (sqrt.f64 (-.f64 y x)))) (cosh.f64 (log.f64 (sqrt.f64 (-.f64 y x))))) (.f64 (sinh.f64 (log.f64 (sqrt.f64 (-.f64 y x)))) (sinh.f64 (log.f64 (sqrt.f64 (-.f64 y x)))))) (-.f64 (cosh.f64 (log.f64 (sqrt.f64 (-.f64 y x)))) (sinh.f64 (log.f64 (sqrt.f64 (-.f64 y x))))))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (log.f64 (sqrt.f64 (-.f64 y x)))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (log.f64 (sqrt.f64 (-.f64 y x)))) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (log.f64 (sqrt.f64 (-.f64 y x)))) (cosh.f64 (log.f64 (sqrt.f64 (-.f64 y x)))) (-.f64 (.f64 (sinh.f64 (log.f64 (sqrt.f64 (-.f64 y x)))) (sinh.f64 (log.f64 (sqrt.f64 (-.f64 y x))))) (.f64 (cosh.f64 (log.f64 (sqrt.f64 (-.f64 y x)))) (sinh.f64 (log.f64 (sqrt.f64 (-.f64 y x))))))))
(/.f64 (neg.f64 (neg.f64 (hypot.f64 x y))) (neg.f64 (neg.f64 (sqrt.f64 (-.f64 y x)))))
(/.f64 (neg.f64 (neg.f64 (hypot.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64))))) (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 (-.f64 y x) x (*.f64 y y))))))
(/.f64 (sqrt.f64 (-.f64 (.f64 x x) (.f64 y y))) (sqrt.f64 (-.f64 x y)))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (.f64 y (/.f64 y (-.f64 y x))) #s(literal 2 binary64)) (pow.f64 (.f64 x (/.f64 x (-.f64 y x))) #s(literal 2 binary64)))) (sqrt.f64 (-.f64 y x)))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) x (.f64 y y))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) x (.f64 y y))) #s(literal 2 binary64)))) (sqrt.f64 (-.f64 y x)))
(/.f64 (sqrt.f64 (-.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (-.f64 y x) #s(literal 3 binary64))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (-.f64 y x) #s(literal 3 binary64))))) (sqrt.f64 (+.f64 (pow.f64 (.f64 y (/.f64 y (-.f64 y x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 x (/.f64 x (-.f64 y x))) #s(literal 2 binary64)) (.f64 (.f64 y (/.f64 y (-.f64 y x))) (*.f64 x (/.f64 x (-.f64 y x))))))))
(/.f64 (sqrt.f64 (-.f64 (/.f64 (pow.f64 y #s(literal 9 binary64)) (pow.f64 (fma.f64 (-.f64 y x) x (.f64 y y)) #s(literal 3 binary64))) (/.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (fma.f64 (-.f64 y x) x (.f64 y y)) #s(literal 3 binary64))))) (sqrt.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) x (.f64 y y))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) x (.f64 y y))) #s(literal 2 binary64)) (.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) x (.f64 y y))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) x (*.f64 y y))))))))
(/.f64 (sqrt.f64 (-.f64 (.f64 (.f64 y y) (-.f64 y x)) (.f64 (-.f64 y x) (.f64 x x)))) (hypot.f64 x y))
(/.f64 (sqrt.f64 (-.f64 (.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) x (.f64 y y))) (.f64 (fma.f64 (-.f64 y x) x (.f64 y y)) (pow.f64 x #s(literal 3 binary64))))) (sqrt.f64 (pow.f64 (fma.f64 (-.f64 y x) x (*.f64 y y)) #s(literal 2 binary64))))
(/.f64 (neg.f64 (hypot.f64 x y)) (neg.f64 (sqrt.f64 (-.f64 y x))))
(/.f64 (neg.f64 (hypot.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64)))) (neg.f64 (sqrt.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)))))
(/.f64 (neg.f64 (hypot.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64)))) (neg.f64 (sqrt.f64 (fma.f64 (-.f64 y x) x (*.f64 y y)))))
(/.f64 (hypot.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64))) (sqrt.f64 (neg.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)))))
(/.f64 (hypot.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64))) (sqrt.f64 (fma.f64 x x (-.f64 (.f64 y y) (.f64 x y)))))
(/.f64 (hypot.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64))) (sqrt.f64 (fma.f64 x (-.f64 x y) (*.f64 y y))))
(/.f64 (hypot.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64))) (sqrt.f64 (fma.f64 (-.f64 y x) x (*.f64 y y))))
(/.f64 (hypot.f64 (pow.f64 y #s(literal 9/2 binary64)) (pow.f64 x #s(literal 9/2 binary64))) (sqrt.f64 (.f64 (+.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (.f64 x y) #s(literal 3 binary64))) (fma.f64 (-.f64 y x) x (*.f64 y y)))))
(/.f64 (*.f64 (hypot.f64 x y) (hypot.f64 x y)) (sqrt.f64 (pow.f64 (-.f64 y x) #s(literal 3 binary64))))
(/.f64 (hypot.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (.f64 (+.f64 (pow.f64 (.f64 (-.f64 y x) x) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))) (-.f64 y x))))
(/.f64 (hypot.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (-.f64 y x) x (.f64 y y)))))
(/.f64 (hypot.f64 x y) (sqrt.f64 (-.f64 y x)))
(sqrt.f64 (-.f64 y x))
(fabs.f64 (sqrt.f64 (-.f64 y x)))
(hypot.f64 (sqrt.f64 (neg.f64 (neg.f64 x))) (sqrt.f64 (neg.f64 (neg.f64 y))))
(hypot.f64 (sqrt.f64 (neg.f64 (neg.f64 x))) (sqrt.f64 (neg.f64 y)))
(hypot.f64 (sqrt.f64 (neg.f64 (neg.f64 x))) (sqrt.f64 y))
(hypot.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 (neg.f64 y))))
(hypot.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 y)))
(hypot.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 y))
(hypot.f64 (sqrt.f64 x) (sqrt.f64 (neg.f64 (neg.f64 y))))
(hypot.f64 (sqrt.f64 x) (sqrt.f64 (neg.f64 y)))
(hypot.f64 (sqrt.f64 x) (sqrt.f64 y))
(hypot.f64 (sqrt.f64 (neg.f64 (neg.f64 y))) (sqrt.f64 (neg.f64 (neg.f64 x))))
(hypot.f64 (sqrt.f64 (neg.f64 (neg.f64 y))) (sqrt.f64 (neg.f64 x)))
(hypot.f64 (sqrt.f64 (neg.f64 (neg.f64 y))) (sqrt.f64 x))
(hypot.f64 (sqrt.f64 (neg.f64 y)) (sqrt.f64 (neg.f64 (neg.f64 x))))
(hypot.f64 (sqrt.f64 (neg.f64 y)) (sqrt.f64 (neg.f64 x)))
(hypot.f64 (sqrt.f64 (neg.f64 y)) (sqrt.f64 x))
(hypot.f64 (sqrt.f64 y) (sqrt.f64 (neg.f64 (neg.f64 x))))
(hypot.f64 (sqrt.f64 y) (sqrt.f64 (neg.f64 x)))
(hypot.f64 (sqrt.f64 y) (sqrt.f64 x))
(exp.f64 (fma.f64 (log.f64 (-.f64 y x)) #s(literal 1/4 binary64) (*.f64 (log.f64 (-.f64 y x)) #s(literal 1/4 binary64))))
(exp.f64 (.f64 (.f64 (log.f64 (-.f64 y x)) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64))) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 y x) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (log.f64 (sqrt.f64 (-.f64 y x))))
(+.f64 (cosh.f64 (log.f64 (sqrt.f64 (-.f64 y x)))) (sinh.f64 (log.f64 (sqrt.f64 (-.f64 y x)))))
(.f64 (/.f64 (+.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (.f64 x y) #s(literal 3 binary64))) (+.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))) (-.f64 y x))
(.f64 (/.f64 (+.f64 (pow.f64 (.f64 (-.f64 y x) x) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (fma.f64 (-.f64 y x) x (*.f64 y y))))
(*.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (-.f64 y x))
(.f64 (/.f64 (+.f64 y (neg.f64 x)) (/.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (/.f64 (-.f64 y (neg.f64 x)) (fma.f64 (-.f64 y x) x (.f64 y y))))
(.f64 (/.f64 (+.f64 y (neg.f64 x)) (/.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (/.f64 (-.f64 y (neg.f64 x)) (fma.f64 x (-.f64 x y) (.f64 y y))))
(.f64 (/.f64 (-.f64 y x) (/.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (/.f64 (-.f64 y x) (fma.f64 x (-.f64 x y) (.f64 y y))))
(.f64 (/.f64 (+.f64 (pow.f64 (.f64 (-.f64 y x) x) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))) (+.f64 (pow.f64 (*.f64 (-.f64 y x) x) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)))) (-.f64 y x))
(.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (-.f64 y x) x) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)))) (/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 y x)))
(.f64 (/.f64 (+.f64 y (neg.f64 x)) (/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (.f64 (-.f64 y x) x) #s(literal 2 binary64))))) (/.f64 (-.f64 y (neg.f64 x)) (fma.f64 x (-.f64 x y) (*.f64 y y))))
(.f64 (/.f64 (+.f64 y (neg.f64 x)) (/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (-.f64 y x) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))))) (/.f64 (-.f64 y (neg.f64 x)) (fma.f64 (.f64 (-.f64 y x) x) (-.f64 (.f64 (-.f64 y x) x) (*.f64 y y)) (pow.f64 y #s(literal 4 binary64)))))
(*.f64 (/.f64 (+.f64 y (neg.f64 x)) (/.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (pow.f64 (-.f64 y x) #s(literal 2 binary64)))) (/.f64 (-.f64 y (neg.f64 x)) (-.f64 y x)))
(*.f64 (/.f64 (+.f64 y (neg.f64 x)) (-.f64 y x)) (/.f64 (-.f64 y (neg.f64 x)) (/.f64 (-.f64 y x) (-.f64 y x))))
(.f64 (/.f64 (-.f64 y x) (/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (.f64 (-.f64 y x) x) #s(literal 2 binary64))))) (/.f64 (-.f64 y x) (fma.f64 x (-.f64 x y) (*.f64 y y))))
(.f64 (/.f64 (-.f64 y x) (/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (-.f64 y x) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))))) (/.f64 (-.f64 y x) (fma.f64 (.f64 (-.f64 y x) x) (-.f64 (.f64 (-.f64 y x) x) (*.f64 y y)) (pow.f64 y #s(literal 4 binary64)))))
(*.f64 (/.f64 (-.f64 y x) (/.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (pow.f64 (-.f64 y x) #s(literal 2 binary64)))) (/.f64 (-.f64 y x) (-.f64 y x)))
(.f64 (/.f64 (+.f64 y (neg.f64 x)) (fma.f64 (-.f64 y x) x (.f64 y y))) (/.f64 (-.f64 y (neg.f64 x)) (/.f64 (-.f64 y x) (fma.f64 x (-.f64 x y) (*.f64 y y)))))
(.f64 (/.f64 (-.f64 y x) (fma.f64 x (-.f64 x y) (.f64 y y))) (/.f64 (-.f64 y x) (/.f64 (-.f64 y x) (fma.f64 x (-.f64 x y) (*.f64 y y)))))
(*.f64 (/.f64 (-.f64 y x) (-.f64 y x)) (/.f64 (-.f64 y x) (/.f64 (-.f64 y x) (-.f64 y x))))
(.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (.f64 (-.f64 y x) x) #s(literal 2 binary64)))) (fma.f64 x (-.f64 x y) (*.f64 y y)))
(.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (-.f64 y x) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))) (fma.f64 (.f64 (-.f64 y x) x) (-.f64 (.f64 (-.f64 y x) x) (*.f64 y y)) (pow.f64 y #s(literal 4 binary64))))
(*.f64 (/.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (pow.f64 (-.f64 y x) #s(literal 2 binary64))) (-.f64 y x))
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(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) x (.f64 y y))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) x (.f64 y y))))
(+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) x (.f64 y y))) (/.f64 (.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64))) (fma.f64 (-.f64 y x) x (*.f64 y y))))
(+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) x (.f64 y y))) (/.f64 (.f64 (.f64 (neg.f64 x) x) x) (fma.f64 (-.f64 y x) x (.f64 y y))))
(+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) x (.f64 y y))) (/.f64 (.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64))) (fma.f64 x (-.f64 x y) (*.f64 y y))))
(+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) x (.f64 y y))) (/.f64 (.f64 (.f64 (neg.f64 x) x) x) (fma.f64 x (-.f64 x y) (.f64 y y))))
(+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) x (.f64 y y))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) x (.f64 y y))))
(+.f64 (neg.f64 x) (neg.f64 y))
(+.f64 (neg.f64 y) (neg.f64 x))
(+.f64 (neg.f64 y) x)
(+.f64 x y)
(+.f64 y x)

eval63.0ms (2.1%)

Memory: 10.7MiB live, 54.5MiB allocated
Compiler: Compiled 9 911 to 1 117 computations (88.7% saved)

prune5.0ms (0.2%)

Memory

19.0MiB live, 19.0MiB allocated

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	347	3	350
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	347	4	351

Accuracy

100.0%

Counts

351 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(sqrt.f64 (-.f64 y x))
▶	88.0%	(sqrt.f64 #s(approx (- y x) (*.f64 (-.f64 (/.f64 y x) #s(literal 1 binary64)) x)))
▶	47.3%	(sqrt.f64 #s(approx (- y x) (neg.f64 x)))
▶	54.7%	#s(approx (sqrt (- y x)) (sqrt.f64 y))

Compiler

Compiled 30 to 25 computations (16.7% saved)

simplify3.0ms (0.1%)

Memory

2.9MiB live, 2.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 9 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(-.f64 (/.f64 y x) #s(literal 1 binary64))
cost-diff	0	(*.f64 (-.f64 (/.f64 y x) #s(literal 1 binary64)) x)
cost-diff	0	#s(approx (- y x) (*.f64 (-.f64 (/.f64 y x) #s(literal 1 binary64)) x))
cost-diff	0	(sqrt.f64 #s(approx (- y x) (*.f64 (-.f64 (/.f64 y x) #s(literal 1 binary64)) x)))
cost-diff	0	(neg.f64 x)
cost-diff	0	#s(approx (- y x) (neg.f64 x))
cost-diff	0	(sqrt.f64 #s(approx (- y x) (neg.f64 x)))
cost-diff	0	(sqrt.f64 y)
cost-diff	0	#s(approx (sqrt (- y x)) (sqrt.f64 y))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	67
0	22	67
1	25	67
0	25	67

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
#s(approx (sqrt (- y x)) (sqrt.f64 y))
(sqrt.f64 y)
y
(sqrt.f64 #s(approx (- y x) (neg.f64 x)))
#s(approx (- y x) (neg.f64 x))
(neg.f64 x)
x
(sqrt.f64 #s(approx (- y x) (*.f64 (-.f64 (/.f64 y x) #s(literal 1 binary64)) x)))
#s(approx (- y x) (*.f64 (-.f64 (/.f64 y x) #s(literal 1 binary64)) x))
(*.f64 (-.f64 (/.f64 y x) #s(literal 1 binary64)) x)
(-.f64 (/.f64 y x) #s(literal 1 binary64))
(/.f64 y x)
y
x
#s(literal 1 binary64)

Outputs
#s(approx (sqrt (- y x)) (sqrt.f64 y))
(sqrt.f64 y)
y
(sqrt.f64 #s(approx (- y x) (neg.f64 x)))
#s(approx (- y x) (neg.f64 x))
(neg.f64 x)
x
(sqrt.f64 #s(approx (- y x) (*.f64 (-.f64 (/.f64 y x) #s(literal 1 binary64)) x)))
#s(approx (- y x) (*.f64 (-.f64 (/.f64 y x) #s(literal 1 binary64)) x))
(*.f64 (-.f64 (/.f64 y x) #s(literal 1 binary64)) x)
(-.f64 (/.f64 y x) #s(literal 1 binary64))
(/.f64 y x)
y
x
#s(literal 1 binary64)

localize50.0ms (1.7%)

Memory

-5.4MiB live, 32.2MiB allocated

Localize:

Found 9 expressions of interest:

New	Metric	Score
accuracy	0.0	(-.f64 (/.f64 y x) #s(literal 1 binary64))
accuracy	0.0	#s(approx (- y x) (*.f64 (-.f64 (/.f64 y x) #s(literal 1 binary64)) x))
accuracy	0.00390625	(sqrt.f64 #s(approx (- y x) (*.f64 (-.f64 (/.f64 y x) #s(literal 1 binary64)) x)))
accuracy	7.55834897870318	(*.f64 (-.f64 (/.f64 y x) #s(literal 1 binary64)) x)
accuracy	0.0	(neg.f64 x)
accuracy	0.00390625	(sqrt.f64 #s(approx (- y x) (neg.f64 x)))
accuracy	33.380263778026354	#s(approx (- y x) (neg.f64 x))
accuracy	0.0	(sqrt.f64 y)
accuracy	16.26756422172678	#s(approx (sqrt (- y x)) (sqrt.f64 y))

Samples

26.0ms	51×	0	invalid
16.0ms	205×	0	valid

Compiler

Compiled 111 to 27 computations (75.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-sqrt: 4.0ms (34.8% of total)

ival-sub: 3.0ms (26.1% of total)

ival-div: 2.0ms (17.4% of total)

ival-mult: 2.0ms (17.4% of total)

ival-neg: 1.0ms (8.7% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

series7.0ms (0.2%)

Memory

7.3MiB live, 7.3MiB allocated

Counts

9 → 36

Calls

Call 1

Inputs
#s(approx (sqrt (- y x)) (sqrt.f64 y))
(sqrt.f64 y)
(sqrt.f64 #s(approx (- y x) (neg.f64 x)))
#s(approx (- y x) (neg.f64 x))
(neg.f64 x)
(sqrt.f64 #s(approx (- y x) (*.f64 (-.f64 (/.f64 y x) #s(literal 1 binary64)) x)))
#s(approx (- y x) (*.f64 (-.f64 (/.f64 y x) #s(literal 1 binary64)) x))
(*.f64 (-.f64 (/.f64 y x) #s(literal 1 binary64)) x)
(-.f64 (/.f64 y x) #s(literal 1 binary64))

Outputs
(sqrt y)
(+ (sqrt y) (* -1/2 (* x (sqrt (/ 1 y)))))
(+ (sqrt y) (* x (+ (* -1/2 (sqrt (/ 1 y))) (* -1/8 (* x (sqrt (/ 1 (pow y 3))))))))
(+ (sqrt y) (* x (+ (* -1/2 (sqrt (/ 1 y))) (* x (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (* -1/16 (* x (sqrt (/ 1 (pow y 5))))))))))
y
(+ y (* -1 x))
(* -1 x)
(/ y x)
(/ (+ y (* -1 x)) x)
(* (sqrt x) (sqrt -1))
(* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))
(* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (pow y 2) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))
(* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (pow y 2) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ (pow y 3) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))
(* x (- (/ y x) 1))
-1
(- (/ y x) 1)
(* -1 (* (sqrt x) (sqrt -1)))
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (pow y 2) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (pow y 2) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (* (pow y 3) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))))
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(+ (* 1/2 (* (sqrt (/ 1 x)) (/ y (sqrt -1)))) (* (sqrt x) (sqrt -1)))
(+ (* y (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ y (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (sqrt -1)))))) (* (sqrt x) (sqrt -1)))
(+ (* y (+ (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (sqrt -1)))) (* y (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (pow x 5))) (/ y (pow (sqrt -1) 5)))))))) (* (sqrt x) (sqrt -1)))
(- y x)
(* y (+ (sqrt (/ 1 y)) (* -1/2 (* x (sqrt (/ 1 (pow y 3)))))))
(* y (+ (sqrt (/ 1 y)) (+ (* -1/2 (* x (sqrt (/ 1 (pow y 3))))) (* -1/8 (* (pow x 2) (sqrt (/ 1 (pow y 5))))))))
(* y (+ (sqrt (/ 1 y)) (+ (* -1/2 (* x (sqrt (/ 1 (pow y 3))))) (+ (* -1/8 (* (pow x 2) (sqrt (/ 1 (pow y 5))))) (* -1/16 (* (pow x 3) (sqrt (/ 1 (pow y 7)))))))))
(* y (+ 1 (* -1 (/ x y))))
(* y (- (/ 1 x) (/ 1 y)))
(* -1 (* (sqrt y) (pow (sqrt -1) 2)))
(* -1 (* y (+ (* 1/2 (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))
(* -1 (* y (+ (* -1/8 (* (* (pow x 2) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 5))))) (+ (* 1/2 (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))))
(* -1 (* y (+ (* -1/8 (* (* (pow x 2) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 5))))) (+ (* 1/16 (* (* (pow x 3) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 7))))) (+ (* 1/2 (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))))
(* -1 (* y (- (/ x y) 1)))
(* -1 (* y (- (/ 1 y) (/ 1 x))))

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	y	@	inf	((sqrt (- y x)) (sqrt y) (sqrt (- y x)) (- y x) (neg x) (sqrt (- y x)) (- y x) (* (- (/ y x) 1) x) (- (/ y x) 1))
1.0ms	y	@	-inf	((sqrt (- y x)) (sqrt y) (sqrt (- y x)) (- y x) (neg x) (sqrt (- y x)) (- y x) (* (- (/ y x) 1) x) (- (/ y x) 1))
1.0ms	x	@	-inf	((sqrt (- y x)) (sqrt y) (sqrt (- y x)) (- y x) (neg x) (sqrt (- y x)) (- y x) (* (- (/ y x) 1) x) (- (/ y x) 1))
1.0ms	x	@	inf	((sqrt (- y x)) (sqrt y) (sqrt (- y x)) (- y x) (neg x) (sqrt (- y x)) (- y x) (* (- (/ y x) 1) x) (- (/ y x) 1))
1.0ms	y	@	0	((sqrt (- y x)) (sqrt y) (sqrt (- y x)) (- y x) (neg x) (sqrt (- y x)) (- y x) (* (- (/ y x) 1) x) (- (/ y x) 1))

simplify200.0ms (6.8%)

Memory

-32.9MiB live, 131.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	180	723
1	577	675
2	2465	646
3	6847	636
0	8534	602

Stop Event

1×	iter limit
1×	node limit

Counts

36 → 35

Calls

Call 1

Inputs
(sqrt y)
(+ (sqrt y) (* -1/2 (* x (sqrt (/ 1 y)))))
(+ (sqrt y) (* x (+ (* -1/2 (sqrt (/ 1 y))) (* -1/8 (* x (sqrt (/ 1 (pow y 3))))))))
(+ (sqrt y) (* x (+ (* -1/2 (sqrt (/ 1 y))) (* x (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (* -1/16 (* x (sqrt (/ 1 (pow y 5))))))))))
y
(+ y (* -1 x))
(* -1 x)
(/ y x)
(/ (+ y (* -1 x)) x)
(* (sqrt x) (sqrt -1))
(* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))
(* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (pow y 2) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))
(* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (pow y 2) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ (pow y 3) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))
(* x (- (/ y x) 1))
-1
(- (/ y x) 1)
(* -1 (* (sqrt x) (sqrt -1)))
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (pow y 2) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (pow y 2) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (* (pow y 3) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))))
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(+ (* 1/2 (* (sqrt (/ 1 x)) (/ y (sqrt -1)))) (* (sqrt x) (sqrt -1)))
(+ (* y (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ y (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (sqrt -1)))))) (* (sqrt x) (sqrt -1)))
(+ (* y (+ (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (sqrt -1)))) (* y (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (pow x 5))) (/ y (pow (sqrt -1) 5)))))))) (* (sqrt x) (sqrt -1)))
(- y x)
(* y (+ (sqrt (/ 1 y)) (* -1/2 (* x (sqrt (/ 1 (pow y 3)))))))
(* y (+ (sqrt (/ 1 y)) (+ (* -1/2 (* x (sqrt (/ 1 (pow y 3))))) (* -1/8 (* (pow x 2) (sqrt (/ 1 (pow y 5))))))))
(* y (+ (sqrt (/ 1 y)) (+ (* -1/2 (* x (sqrt (/ 1 (pow y 3))))) (+ (* -1/8 (* (pow x 2) (sqrt (/ 1 (pow y 5))))) (* -1/16 (* (pow x 3) (sqrt (/ 1 (pow y 7)))))))))
(* y (+ 1 (* -1 (/ x y))))
(* y (- (/ 1 x) (/ 1 y)))
(* -1 (* (sqrt y) (pow (sqrt -1) 2)))
(* -1 (* y (+ (* 1/2 (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))
(* -1 (* y (+ (* -1/8 (* (* (pow x 2) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 5))))) (+ (* 1/2 (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))))
(* -1 (* y (+ (* -1/8 (* (* (pow x 2) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 5))))) (+ (* 1/16 (* (* (pow x 3) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 7))))) (+ (* 1/2 (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))))
(* -1 (* y (- (/ x y) 1)))
(* -1 (* y (- (/ 1 y) (/ 1 x))))

Outputs
(sqrt y)
(sqrt.f64 y)
(+ (sqrt y) (* -1/2 (* x (sqrt (/ 1 y)))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))
(+ (sqrt y) (* x (+ (* -1/2 (sqrt (/ 1 y))) (* -1/8 (* x (sqrt (/ 1 (pow y 3))))))))
(fma.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal -1/2 binary64))) x (sqrt.f64 y))
(+ (sqrt y) (* x (+ (* -1/2 (sqrt (/ 1 y))) (* x (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (* -1/16 (* x (sqrt (/ 1 (pow y 5))))))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/16 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) #s(literal -1/8 binary64))) x (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal -1/2 binary64))) x (sqrt.f64 y))
y
(+ y (* -1 x))
(-.f64 y x)
(* -1 x)
(neg.f64 x)
(/ y x)
(/.f64 y x)
(/ (+ y (* -1 x)) x)
(/.f64 (-.f64 y x) x)
(* (sqrt x) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 x))
(* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))
(.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (/.f64 y (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64)))) x)
(* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (pow y 2) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))
(.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (.f64 (neg.f64 y) y) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/8 binary64)) (.f64 y (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal -1 binary64)))) x)
(* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (pow y 2) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ (pow y 3) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))
(.f64 (fma.f64 (/.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (.f64 (neg.f64 y) y) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/8 binary64)) (.f64 y (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal -1 binary64))))) x)
(* x (- (/ y x) 1))
(-.f64 y x)
-1
#s(literal -1 binary64)
(- (/ y x) 1)
(/.f64 (-.f64 y x) x)
(* -1 (* (sqrt x) (sqrt -1)))
(*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 #s(literal -1 binary64)))
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))
(.f64 (neg.f64 x) (.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64)) y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (pow y 2) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))
(.f64 (neg.f64 x) (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 y y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))) (sqrt.f64 #s(literal -1 binary64)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64)) y (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (pow y 2) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (* (pow y 3) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))))
(.f64 (neg.f64 x) (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 #s(literal 1/16 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (pow.f64 y #s(literal 3 binary64))) (.f64 #s(literal -1/8 binary64) (.f64 (.f64 y y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64)) y (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(-.f64 y x)
(+ (* 1/2 (* (sqrt (/ 1 x)) (/ y (sqrt -1)))) (* (sqrt x) (sqrt -1)))
(fma.f64 (.f64 y #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 x)))
(+ (* y (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ y (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (sqrt -1)))))) (* (sqrt x) (sqrt -1)))
(fma.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) y (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal -1 binary64))) y (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 x)))
(+ (* y (+ (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (sqrt -1)))) (* y (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (pow x 5))) (/ y (pow (sqrt -1) 5)))))))) (* (sqrt x) (sqrt -1)))
(fma.f64 (fma.f64 (.f64 y (.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))) (/.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (/.f64 (fma.f64 (.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) y (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal -1 binary64)))) y (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 x)))
(- y x)
(-.f64 y x)
(* y (+ (sqrt (/ 1 y)) (* -1/2 (* x (sqrt (/ 1 (pow y 3)))))))
(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) y)
(* y (+ (sqrt (/ 1 y)) (+ (* -1/2 (* x (sqrt (/ 1 (pow y 3))))) (* -1/8 (* (pow x 2) (sqrt (/ 1 (pow y 5))))))))
(.f64 (fma.f64 (.f64 (.f64 x x) #s(literal -1/8 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (fma.f64 (.f64 #s(literal -1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) y)
(* y (+ (sqrt (/ 1 y)) (+ (* -1/2 (* x (sqrt (/ 1 (pow y 3))))) (+ (* -1/8 (* (pow x 2) (sqrt (/ 1 (pow y 5))))) (* -1/16 (* (pow x 3) (sqrt (/ 1 (pow y 7)))))))))
(.f64 (fma.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/16 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 7 binary64)))) (fma.f64 (.f64 (.f64 x x) #s(literal -1/8 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))) y)
(* y (+ 1 (* -1 (/ x y))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y)
(* y (- (/ 1 x) (/ 1 y)))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y)) y)
(* -1 (* (sqrt y) (pow (sqrt -1) 2)))
(sqrt.f64 y)
(* -1 (* y (+ (* 1/2 (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))
(.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) y)
(* -1 (* y (+ (* -1/8 (* (* (pow x 2) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 5))))) (+ (* 1/2 (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))))
(.f64 (fma.f64 (.f64 (.f64 x x) #s(literal -1/8 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (fma.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) y)
(* -1 (* y (+ (* -1/8 (* (* (pow x 2) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 5))))) (+ (* 1/16 (* (* (pow x 3) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 7))))) (+ (* 1/2 (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))))
(.f64 (fma.f64 (.f64 (.f64 x x) #s(literal -1/8 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (fma.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 7 binary64)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))) y)
(* -1 (* y (- (/ x y) 1)))
(*.f64 (neg.f64 y) (-.f64 (/.f64 x y) #s(literal 1 binary64)))
(* -1 (* y (- (/ 1 y) (/ 1 x))))
(*.f64 (neg.f64 y) (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x)))

rewrite137.0ms (4.7%)

Memory

24.7MiB live, 181.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	59
0	22	59
1	58	59
2	307	59
3	3579	59
0	8235	59

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

9 → 116

Calls

Call 1

Inputs
#s(approx (sqrt (- y x)) (sqrt.f64 y))
(sqrt.f64 y)
(sqrt.f64 #s(approx (- y x) (neg.f64 x)))
#s(approx (- y x) (neg.f64 x))
(neg.f64 x)
(sqrt.f64 #s(approx (- y x) (*.f64 (-.f64 (/.f64 y x) #s(literal 1 binary64)) x)))
#s(approx (- y x) (*.f64 (-.f64 (/.f64 y x) #s(literal 1 binary64)) x))
(*.f64 (-.f64 (/.f64 y x) #s(literal 1 binary64)) x)
(-.f64 (/.f64 y x) #s(literal 1 binary64))

Outputs
#s(approx (sqrt (- y x)) (sqrt.f64 y))
(*.f64 (neg.f64 (neg.f64 (pow.f64 y #s(literal 1/4 binary64)))) (neg.f64 (neg.f64 (pow.f64 y #s(literal 1/4 binary64)))))
(*.f64 (pow.f64 (neg.f64 y) #s(literal 1/4 binary64)) (pow.f64 (neg.f64 y) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 y))
(*.f64 (neg.f64 (pow.f64 y #s(literal 1/4 binary64))) (neg.f64 (pow.f64 y #s(literal 1/4 binary64))))
(*.f64 (pow.f64 y #s(literal 1/4 binary64)) (pow.f64 y #s(literal 1/4 binary64)))
(*.f64 #s(literal 1 binary64) (sqrt.f64 y))
(*.f64 (sqrt.f64 y) (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 y) #s(literal 1 binary64))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 y))
(pow.f64 (neg.f64 (pow.f64 y #s(literal 1/4 binary64))) #s(literal 2 binary64))
(pow.f64 (pow.f64 y #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 y y) #s(literal 1/4 binary64))
(pow.f64 (neg.f64 y) #s(literal 1/2 binary64))
(pow.f64 y #s(literal 1/2 binary64))
(sqrt.f64 y)
(fabs.f64 (sqrt.f64 y))
(exp.f64 (fma.f64 (log.f64 y) #s(literal 1/4 binary64) (*.f64 (log.f64 y) #s(literal 1/4 binary64))))
(exp.f64 (.f64 (.f64 (log.f64 y) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 y)) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 y #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (log.f64 (sqrt.f64 y)))
(+.f64 (cosh.f64 (log.f64 (sqrt.f64 y))) (sinh.f64 (log.f64 (sqrt.f64 y))))
(*.f64 (neg.f64 (neg.f64 (pow.f64 #s(approx (- y x) (neg.f64 x)) #s(literal 1/4 binary64)))) (neg.f64 (neg.f64 (pow.f64 #s(approx (- y x) (neg.f64 x)) #s(literal 1/4 binary64)))))
(*.f64 (neg.f64 (pow.f64 #s(approx (- y x) (neg.f64 x)) #s(literal 1/4 binary64))) (neg.f64 (pow.f64 #s(approx (- y x) (neg.f64 x)) #s(literal 1/4 binary64))))
(*.f64 (pow.f64 #s(approx (- y x) (neg.f64 x)) #s(literal 1/4 binary64)) (pow.f64 #s(approx (- y x) (neg.f64 x)) #s(literal 1/4 binary64)))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 #s(approx (- y x) (neg.f64 x))))
(pow.f64 (neg.f64 (pow.f64 #s(approx (- y x) (neg.f64 x)) #s(literal 1/4 binary64))) #s(literal 2 binary64))
(pow.f64 (pow.f64 #s(approx (- y x) (neg.f64 x)) #s(literal 2 binary64)) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 #s(approx (- y x) (neg.f64 x)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 #s(approx (- y x) (neg.f64 x)) #s(literal 1/2 binary64))
(sqrt.f64 #s(approx (- y x) (neg.f64 x)))
(fabs.f64 (sqrt.f64 #s(approx (- y x) (neg.f64 x))))
(exp.f64 (fma.f64 (log.f64 #s(approx (- y x) (neg.f64 x))) #s(literal 1/4 binary64) (*.f64 (log.f64 #s(approx (- y x) (neg.f64 x))) #s(literal 1/4 binary64))))
(exp.f64 (.f64 (.f64 (log.f64 #s(approx (- y x) (neg.f64 x))) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 #s(approx (- y x) (neg.f64 x)) #s(literal 2 binary64))) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 #s(approx (- y x) (neg.f64 x)) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (log.f64 (sqrt.f64 #s(approx (- y x) (neg.f64 x)))))
(+.f64 (cosh.f64 (log.f64 (sqrt.f64 #s(approx (- y x) (neg.f64 x))))) (sinh.f64 (log.f64 (sqrt.f64 #s(approx (- y x) (neg.f64 x))))))
#s(approx (- y x) (neg.f64 x))
(exp.f64 (log.f64 #s(approx (- y x) (neg.f64 x))))
(+.f64 (cosh.f64 (log.f64 #s(approx (- y x) (neg.f64 x)))) (sinh.f64 (log.f64 #s(approx (- y x) (neg.f64 x)))))
(neg.f64 x)
(.f64 (neg.f64 (neg.f64 (pow.f64 #s(approx (- y x) (.f64 (-.f64 (/.f64 y x) #s(literal 1 binary64)) x)) #s(literal 1/4 binary64)))) (neg.f64 (neg.f64 (pow.f64 #s(approx (- y x) (*.f64 (-.f64 (/.f64 y x) #s(literal 1 binary64)) x)) #s(literal 1/4 binary64)))))
(.f64 (neg.f64 (pow.f64 #s(approx (- y x) (.f64 (-.f64 (/.f64 y x) #s(literal 1 binary64)) x)) #s(literal 1/4 binary64))) (neg.f64 (pow.f64 #s(approx (- y x) (*.f64 (-.f64 (/.f64 y x) #s(literal 1 binary64)) x)) #s(literal 1/4 binary64))))
(.f64 (pow.f64 #s(approx (- y x) (.f64 (-.f64 (/.f64 y x) #s(literal 1 binary64)) x)) #s(literal 1/4 binary64)) (pow.f64 #s(approx (- y x) (*.f64 (-.f64 (/.f64 y x) #s(literal 1 binary64)) x)) #s(literal 1/4 binary64)))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 #s(approx (- y x) (*.f64 (-.f64 (/.f64 y x) #s(literal 1 binary64)) x))))
(pow.f64 (neg.f64 (pow.f64 #s(approx (- y x) (*.f64 (-.f64 (/.f64 y x) #s(literal 1 binary64)) x)) #s(literal 1/4 binary64))) #s(literal 2 binary64))
(pow.f64 (pow.f64 #s(approx (- y x) (*.f64 (-.f64 (/.f64 y x) #s(literal 1 binary64)) x)) #s(literal 2 binary64)) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 #s(approx (- y x) (*.f64 (-.f64 (/.f64 y x) #s(literal 1 binary64)) x)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 #s(approx (- y x) (*.f64 (-.f64 (/.f64 y x) #s(literal 1 binary64)) x)) #s(literal 1/2 binary64))
(sqrt.f64 #s(approx (- y x) (*.f64 (-.f64 (/.f64 y x) #s(literal 1 binary64)) x)))
(fabs.f64 (sqrt.f64 #s(approx (- y x) (*.f64 (-.f64 (/.f64 y x) #s(literal 1 binary64)) x))))
(exp.f64 (fma.f64 (log.f64 #s(approx (- y x) (.f64 (-.f64 (/.f64 y x) #s(literal 1 binary64)) x))) #s(literal 1/4 binary64) (.f64 (log.f64 #s(approx (- y x) (*.f64 (-.f64 (/.f64 y x) #s(literal 1 binary64)) x))) #s(literal 1/4 binary64))))
(exp.f64 (.f64 (.f64 (log.f64 #s(approx (- y x) (*.f64 (-.f64 (/.f64 y x) #s(literal 1 binary64)) x))) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (pow.f64 #s(approx (- y x) (.f64 (-.f64 (/.f64 y x) #s(literal 1 binary64)) x)) #s(literal 2 binary64))) #s(literal 1/4 binary64)))
(exp.f64 (.f64 (log.f64 (pow.f64 #s(approx (- y x) (.f64 (-.f64 (/.f64 y x) #s(literal 1 binary64)) x)) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (log.f64 (sqrt.f64 #s(approx (- y x) (*.f64 (-.f64 (/.f64 y x) #s(literal 1 binary64)) x)))))
(+.f64 (cosh.f64 (log.f64 (sqrt.f64 #s(approx (- y x) (.f64 (-.f64 (/.f64 y x) #s(literal 1 binary64)) x))))) (sinh.f64 (log.f64 (sqrt.f64 #s(approx (- y x) (.f64 (-.f64 (/.f64 y x) #s(literal 1 binary64)) x))))))
#s(approx (- y x) (*.f64 (-.f64 (/.f64 y x) #s(literal 1 binary64)) x))
(exp.f64 (log.f64 #s(approx (- y x) (*.f64 (-.f64 (/.f64 y x) #s(literal 1 binary64)) x))))
(+.f64 (cosh.f64 (log.f64 #s(approx (- y x) (.f64 (-.f64 (/.f64 y x) #s(literal 1 binary64)) x)))) (sinh.f64 (log.f64 #s(approx (- y x) (.f64 (-.f64 (/.f64 y x) #s(literal 1 binary64)) x)))))
(.f64 (/.f64 (.f64 (-.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64)) x) (-.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) #s(literal 2 binary64)))) (-.f64 (*.f64 (/.f64 y x) (-.f64 (/.f64 y x) #s(literal 1 binary64))) #s(literal 1 binary64)))
(.f64 (/.f64 (.f64 (-.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64)) x) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) #s(literal 3 binary64)) (pow.f64 (/.f64 y x) #s(literal 6 binary64)))) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) (pow.f64 (/.f64 y x) #s(literal 2 binary64))) (pow.f64 (/.f64 y x) #s(literal 4 binary64))))
(.f64 (/.f64 (.f64 (-.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) x) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 y x)))
(.f64 (/.f64 (.f64 (-.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) x) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64)))) (fma.f64 (/.f64 y x) (-.f64 (/.f64 y x) #s(literal 1 binary64)) #s(literal 1 binary64)))
(.f64 (/.f64 (.f64 (-.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) x) (-.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64))) (-.f64 (/.f64 y x) #s(literal 1 binary64)))
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x))) (/.f64 (-.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (-.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x))))
(*.f64 (-.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 x (+.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 y x))))
(*.f64 (-.f64 (/.f64 y x) #s(literal 1 binary64)) (/.f64 x #s(literal 1 binary64)))
(*.f64 (-.f64 (/.f64 y x) #s(literal 1 binary64)) x)
(*.f64 x (-.f64 (/.f64 y x) #s(literal 1 binary64)))
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64))) x) (fma.f64 #s(literal -1 binary64) (/.f64 y x) #s(literal -1 binary64)))
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64))) x) (neg.f64 (+.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 y x))))
(/.f64 (*.f64 x (neg.f64 (-.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)))) (fma.f64 #s(literal -1 binary64) (/.f64 y x) #s(literal -1 binary64)))
(/.f64 (*.f64 x (neg.f64 (-.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (+.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 y x))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64)) x)) (neg.f64 (+.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 y x))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) x)) (fma.f64 #s(literal -1 binary64) (/.f64 y x) #s(literal -1 binary64)))
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64)) x) (+.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 y x)))
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) x) (+.f64 #s(literal 1 binary64) (/.f64 y x)))
(/.f64 (*.f64 (-.f64 (/.f64 y x) #s(literal 1 binary64)) x) #s(literal 1 binary64))
(*.f64 (/.f64 (-.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 y x)))
(*.f64 (/.f64 (-.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64)))) (fma.f64 (/.f64 y x) (-.f64 (/.f64 y x) #s(literal 1 binary64)) #s(literal 1 binary64)))
(.f64 (/.f64 (-.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) #s(literal 2 binary64)))) (-.f64 (.f64 (/.f64 y x) (-.f64 (/.f64 y x) #s(literal 1 binary64))) #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) #s(literal 3 binary64)) (pow.f64 (/.f64 y x) #s(literal 6 binary64)))) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) (pow.f64 (/.f64 y x) #s(literal 2 binary64))) (pow.f64 (/.f64 y x) #s(literal 4 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64))) (-.f64 (/.f64 y x) #s(literal 1 binary64)))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) (+.f64 #s(literal 1 binary64) (/.f64 y x))) (-.f64 (/.f64 y x) #s(literal 1 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) (/.f64 (-.f64 (/.f64 y x) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 y x))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 y x))) #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) #s(literal -2 binary64))) (+.f64 (/.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 y x))) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) (+.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 y x))) #s(literal 2 binary64)) (pow.f64 (+.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 y x)) #s(literal -2 binary64))) (+.f64 (/.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) (+.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 y x))) (pow.f64 (+.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 y x)) #s(literal -1 binary64))))
(/.f64 (-.f64 (/.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) #s(literal 3 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) #s(literal -3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 y x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) #s(literal -2 binary64)) (*.f64 (/.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 y x))) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) #s(literal -1 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) (+.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 y x))) #s(literal 3 binary64)) (pow.f64 (+.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 y x)) #s(literal -3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) (+.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 y x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (+.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 y x)) #s(literal -2 binary64)) (*.f64 (/.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) (+.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 y x))) (pow.f64 (+.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 y x)) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)))) (neg.f64 (fma.f64 #s(literal -1 binary64) (/.f64 y x) #s(literal -1 binary64))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (+.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 y x)))))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) (pow.f64 (/.f64 y x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 y x))) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) (+.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 y x))) (.f64 (+.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 y x)) #s(literal 1 binary64))) (pow.f64 (+.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 y x)) #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 y x))))
(/.f64 (-.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 y x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 y x))))
(/.f64 (-.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64))) (+.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 y x))))
(/.f64 (-.f64 (pow.f64 (/.f64 y x) #s(literal 9 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 y x) #s(literal 3 binary64))) (+.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 y x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64))) (fma.f64 #s(literal -1 binary64) (/.f64 y x) #s(literal -1 binary64)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 y x))))
(/.f64 (-.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 y x)))
(/.f64 (-.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 y x)))
(/.f64 (-.f64 (/.f64 y x) #s(literal 1 binary64)) #s(literal 1 binary64))
(neg.f64 (/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 y x))))
(neg.f64 (/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64))) (+.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 y x))))
(neg.f64 (/.f64 (-.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 y x) #s(literal -1 binary64))))
(neg.f64 (/.f64 (-.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64)) (neg.f64 (+.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 y x)))))
(expm1.f64 (/.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64))) #s(literal 2 binary64)))
(expm1.f64 (*.f64 (log.f64 (/.f64 y x)) #s(literal 1 binary64)))
(expm1.f64 (log.f64 (/.f64 y x)))
(-.f64 (/.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 y x))) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) #s(literal -1 binary64)))
(-.f64 (/.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) (+.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 y x))) (pow.f64 (+.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 y x)) #s(literal -1 binary64)))
(-.f64 (/.f64 y x) #s(literal 1 binary64))

eval21.0ms (0.7%)

Memory: 0.2MiB live, 38.7MiB allocated
Compiler: Compiled 3 250 to 619 computations (81% saved)

prune25.0ms (0.8%)

Memory

-26.1MiB live, 13.3MiB allocated

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	145	0	145
Fresh	0	0	0
Picked	0	3	3
Done	0	1	1
Total	145	4	149

Accuracy

100.0%

Counts

149 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(sqrt.f64 (-.f64 y x))
✓	88.0%	(sqrt.f64 #s(approx (- y x) (*.f64 (-.f64 (/.f64 y x) #s(literal 1 binary64)) x)))
✓	47.3%	(sqrt.f64 #s(approx (- y x) (neg.f64 x)))
✓	54.7%	#s(approx (sqrt (- y x)) (sqrt.f64 y))

Compiler

Compiled 65 to 45 computations (30.8% saved)

regimes11.0ms (0.4%)

Memory

38.3MiB live, 38.3MiB allocated

Counts

5 → 1

Calls

Call 1

Inputs
#s(approx (sqrt (- y x)) (sqrt.f64 y))
(sqrt.f64 #s(approx (- y x) (neg.f64 x)))
(sqrt.f64 (-.f64 y x))
(sqrt.f64 (fabs.f64 (-.f64 x y)))
(sqrt.f64 #s(approx (- y x) (*.f64 (-.f64 (/.f64 y x) #s(literal 1 binary64)) x)))

Outputs
(sqrt.f64 (-.f64 y x))

Calls

5 calls:

2.0ms	x
2.0ms	(-.f64 x y)
2.0ms	(sqrt.f64 (fabs.f64 (-.f64 x y)))
2.0ms	(fabs.f64 (-.f64 x y))
2.0ms	y

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`(sqrt.f64 (fabs.f64 (-.f64 x y)))`
100.0%	1	`(fabs.f64 (-.f64 x y))`
100.0%	1	`(-.f64 x y)`

Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes10.0ms (0.3%)

Memory

-19.2MiB live, 27.4MiB allocated

Counts

2 → 2

Calls

Call 1

Inputs
#s(approx (sqrt (- y x)) (sqrt.f64 y))
(sqrt.f64 #s(approx (- y x) (neg.f64 x)))

Outputs
(sqrt.f64 #s(approx (- y x) (neg.f64 x)))
#s(approx (sqrt (- y x)) (sqrt.f64 y))

Calls

5 calls:

4.0ms	(-.f64 x y)
1.0ms	x
1.0ms	(sqrt.f64 (fabs.f64 (-.f64 x y)))
1.0ms	(fabs.f64 (-.f64 x y))
1.0ms	y

Results

Accuracy	Segments	Branch
85.8%	2	`x`
83.7%	2	`y`
60.1%	3	`(sqrt.f64 (fabs.f64 (-.f64 x y)))`
60.1%	3	`(fabs.f64 (-.f64 x y))`
60.1%	3	`(-.f64 x y)`

Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes7.0ms (0.3%)

Memory

-19.9MiB live, 18.9MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (sqrt (- y x)) (sqrt.f64 y))

Outputs
#s(approx (sqrt (- y x)) (sqrt.f64 y))

Calls

5 calls:

3.0ms	(sqrt.f64 (fabs.f64 (-.f64 x y)))
1.0ms	(fabs.f64 (-.f64 x y))
1.0ms	(-.f64 x y)
1.0ms	x
1.0ms	y

Results

Accuracy	Segments	Branch
54.7%	1	`(sqrt.f64 (fabs.f64 (-.f64 x y)))`
54.7%	1	`(fabs.f64 (-.f64 x y))`
54.7%	1	`(-.f64 x y)`
54.7%	1	`y`
54.7%	1	`x`

Compiler

Compiled 14 to 16 computations (-14.3% saved)

bsearch8.0ms (0.3%)

Memory

23.9MiB live, 23.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
7.0ms	-2.0579232657683918e-117	-4.520424766850224e-118

Samples

4.0ms

96×

valid

Compiler

Compiled 92 to 94 computations (-2.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

ival-sub: 1.0ms (55.6% of total)

ival-fabs: 1.0ms (55.6% of total)

ival-sqrt: 1.0ms (55.6% of total)

ival-true: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

simplify11.0ms (0.4%)

Memory

-9.7MiB live, 29.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	29
1	20	29
2	21	29

Stop Event

1×

saturated

Calls

Call 1

Inputs

(sqrt.f64 (-.f64 y x))

(if (<=.f64 x #s(literal -5820388221898415/2839213766779714416208296124562517712318911565184836172974571090549372219192960637992933791850638927971728600024477257552869537611776 binary64)) (sqrt.f64 #s(approx (- y x) (neg.f64 x))) #s(approx (sqrt (- y x)) (sqrt.f64 y)))

#s(approx (sqrt (- y x)) (sqrt.f64 y))

Outputs

(sqrt.f64 (-.f64 y x))

(if (<=.f64 x #s(literal -5820388221898415/2839213766779714416208296124562517712318911565184836172974571090549372219192960637992933791850638927971728600024477257552869537611776 binary64)) (sqrt.f64 #s(approx (- y x) (neg.f64 x))) #s(approx (sqrt (- y x)) (sqrt.f64 y)))

#s(approx (sqrt (- y x)) (sqrt.f64 y))

soundness340.0ms (11.6%)

Memory

2.1MiB live, 327.3MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	174	700
1	563	651
2	2437	621
3	6771	615
0	8407	579
0	5	12
0	8	11
1	29	11
2	186	10
3	2058	10
0	8749	10

Stop Event

1×	done
1×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	node limit

Compiler

Compiled 72 to 52 computations (27.8% saved)

preprocess35.0ms (1.2%)

Memory: -6.2MiB live, 74.4MiB allocated
Compiler: Compiled 76 to 46 computations (39.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	15	31
1	27	31
2	42	31
3	84	31
4	165	31
5	231	31
0	5	5
0	8	5
1	12	5
2	17	5
3	31	5
4	58	5
5	80	5
0	80	5

Iter	Nodes	Cost
0	15	31
1	27	31
2	42	31
3	84	31
4	165	31
5	231	31
0	5	5
0	8	5
1	12	5
2	17	5
3	31	5
4	58	5
5	80	5
0	80	5

start0.0ms (0%)

analyze0.0ms (0%)

sample987.0ms (33.6%)

explain79.0ms (2.7%)

preprocess14.0ms (0.5%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify3.0ms (0.1%)

localize24.0ms (0.8%)

series3.0ms (0.1%)

simplify149.0ms (5.1%)

rewrite197.0ms (6.7%)

eval47.0ms (1.6%)

prune3.0ms (0.1%)

simplify3.0ms (0.1%)

localize28.0ms (0.9%)

series5.0ms (0.2%)

simplify269.0ms (9.1%)

rewrite196.0ms (6.7%)

eval63.0ms (2.1%)

prune5.0ms (0.2%)

simplify3.0ms (0.1%)

localize50.0ms (1.7%)

series7.0ms (0.2%)

simplify200.0ms (6.8%)

rewrite137.0ms (4.7%)

eval21.0ms (0.7%)

prune25.0ms (0.8%)

regimes11.0ms (0.4%)

regimes10.0ms (0.3%)

regimes7.0ms (0.3%)

bsearch8.0ms (0.3%)

simplify11.0ms (0.4%)

soundness340.0ms (11.6%)

preprocess35.0ms (1.2%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	15	31
1	27	31
2	42	31
3	84	31
4	165	31
5	231	31
0	5	5
0	8	5
1	12	5
2	17	5
3	31	5
4	58	5
5	80	5
0	80	5